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Finding the Third Proportional to 426,774 and 660,771

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Solution

The third proportional to 426,774 and 660,771 is: 1,023,066.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,774 : 660,771 = 660,771 : x
  2. Step 2: Convert to fraction form
    426,774/660,771 = 660,771/x
  3. Step 3: Cross multiply
    426,774x = 660,771 × 660,771
  4. Step 4: Simplify right side
    426,774x = 436,618,314,441
  5. Step 5: Solve for x
    x = 436,618,314,441/426,774
  6. Step 6: Final answer
    x = 1,023,066.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.